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非线性带强迫项双曲型时滞微分方程解的振动性质 被引量:3

Oscillations of Certain f Hyperbolic Delay Differential Equations with Forced Term
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摘要 本文研究一类带强迫项时滞双曲型方程解的振动性质.所得应用便利的判别振动的充分条件从理论上揭示了这类方程与普通双曲型方程的差异. In this paper, we investigate oscillatory Properties at solutions of certain nonlinear hyperbolic parrtial differential equations with forced term and establish a series of criteria. The resuits fully indicate that the oseillations are caused by delay. This is one important conelution and reveals the essential differences between these equations and those hyperbolic partial differential equations without delay.
作者 刘安平
出处 《大学数学》 1996年第1期1-4,共4页 College Mathematics
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  • 1马晴霞,肖莉,薛秋条.抛物型时滞偏微分方程解振动的充要条件[J].武汉理工大学学报,2004,26(9):87-89. 被引量:6
  • 2刘安平,王国庆,刘中全.中立双曲型时滞偏微分方程解振动的充要条件[J].工科数学,1997,13(3):40-42. 被引量:16
  • 3刘安平.非线性含时滞阻尼项的双曲型方程解的振动性质[J].应用数学,1996,9(3):321-324. 被引量:1
  • 4Fu X L, Lie June Shiau. Osicillation criteria for impulsive parabolic boundary value problem with delay[J] .Appl. Math. Comput. 2004,47(3) :579 - 599.
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  • 6Cui B. T. Liu Y. Q. Deng F. Q. Someosillation problems for impulsive hyperbolic differential systems with several delays[J]. J. Comput. Appl. Math. 2003, (146): 667 -679.
  • 7Liu Anping, Xiao Li, Liu Ting, Oscillations of nonlinear impulsive hyperbolic equations with seeral delays, Electronic Journal of Differential Equations [ J ]. 2004.(24): 1 -6.
  • 8Yan J. R. Oscillation properties of a second-order impulsive delay differential equation. [ J] Computers Math. Applic. 2004, (47): 253 -258.
  • 9Luo Y. W. Deng L. H. Osillation Behavior of Solutions for a Class of Delay Impulsive Hyperbolic Functional Differential Equations [ J ]. Journal of Sichuan University.2004, 41(1): 46-51.
  • 10Liu A.P. Xiao L. Liu T. Necessary and sufficient conditions for oscillations for lscillations of parabolic neutral partial diferential equations [ J ]. Annal of Differential Equation. 2003, 19(3): 337 -342.

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